Least Common Multiple of 4386 and 4393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4386 and 4393 the smallest integer that is 19267698 that is divisible by both numbers.

Least Common Multiple (LCM) of 4386 and 4393 is 19267698.

LCM(4386,4393) = 19267698

LCM of 4386 and 4393

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4386 and 4393

LCM of 4386 and 4393 is 19267698

Least common multiple can be found by multiplying the highest exponent prime factors of 4386 and 4393. First we will calculate the prime factors of 4386 and 4393.

Prime Factorization of 4386


2 4386
3 2193
17 731
43 43
1

Prime factors of 4386 are 2, 3, 17,43. Prime factorization of 4386 in exponential form is:

4386 = 21×31×171×431

Prime Factorization of 4393


23 4393
191 191
1

Prime factors of 4393 are 23,191. Prime factorization of 4393 in exponential form is:

4393 = 231×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 4386 and 4393.

LCM(4386,4393) = 21×31×171×231×431×1911
LCM(4386,4393) = 19267698

Factors of 4386

List of positive integer factors of 4386 that divides 4386 without a remainder.

1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386

Factors of 4393

List of positive integer factors of 4393 that divides 4393 without a remainder.

1, 23, 191, 4393

Least Common Multiple of 4386 and 4393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4386 and 4393, than apply into the LCM equation.

GCF(4386,4393) = 1
LCM(4386,4393) = ( 4386 × 4393) / 1
LCM(4386,4393) = 19267698 / 1
LCM(4386,4393) = 19267698

Properties of LCM 4386 and 4393

(i) The LCM of 4393 and 4386 is associative

LCM of 4386 and 4393 = LCM of 4393 and 4386

Related Least Common Multiples of 4386

Related Least Common Multiples of 4393

Frequently Asked Questions on LCM of 4386 and 4393

1. What is the LCM of 4386 and 4393?

Answer: LCM of 4386 and 4393 is 19267698.

2. What are the Factors of 4386?

Answer: Factors of 4386 are 1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386. There are 16 integers that are factors of 4386. The greatest factor of 4386 is 4386.

3. What are the Factors of 4393?

Answer: Factors of 4393 are 1, 23, 191, 4393. There are 4 integers that are factors of 4393. The greatest factor of 4393 is 4393.

4. How to Find the LCM of 4386 and 4393?

Answer:

Least Common Multiple of 4386 and 4393 = 19267698

Step 1: Find the prime factorization of 4386

4386 = 2 x 3 x 17 x 43

Step 2: Find the prime factorization of 4393

4393 = 23 x 191

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 19267698 = 2 x 3 x 17 x 23 x 43 x 191

Step 4: Therefore, the least common multiple of 4386 and 4393 is 19267698.